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Finding the Third Proportional to 5,432,860 and 7,352,106

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Solution

The third proportional to 5,432,860 and 7,352,106 is: 9,949,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432,860 : 7,352,106 = 7,352,106 : x
  2. Step 2: Convert to fraction form
    5,432,860/7,352,106 = 7,352,106/x
  3. Step 3: Cross multiply
    5,432,860x = 7,352,106 × 7,352,106
  4. Step 4: Simplify right side
    5,432,860x = 54,053,462,635,236
  5. Step 5: Solve for x
    x = 54,053,462,635,236/5,432,860
  6. Step 6: Final answer
    x = 9,949,356.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.